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mf_newforms • Show schema
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{'Nk2': 880, 'analytic_conductor': 1.7567088444681684, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 55, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [220, 4, [111, 177, 101], [4, 3, 2]], 'cm_discs': [], 'conrey_index': 153, 'dim': 4, 'field_disc': 1936, 'field_disc_factorization': [[2, 4], [11, 2]], 'field_poly': [9, 0, -5, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [2, 2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 687228322012, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 11, 2, -1, 2, 0], [1, 1, 55, 5, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '220.2.k.a', 'level': 220, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '220.2.k.a', 'nf_label': '4.0.1936.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(-1-\\beta _{1})q^{3}+(-1+2\\beta _{1})q^{5}+(-\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '220.2.k', 'trace_display': [0, -4, -4, 0], 'trace_hash': 1234474383417629436, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.075', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.959', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.547', 'prec': 17}, {'__RealLiteral__': 0, 'data': '90.024', 'prec': 20}, {'__RealLiteral__': 0, 'data': '23.051', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2877.017', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.623', 'prec': 17}, 'traces': [4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 12, 0, -12, 0, -16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 8, 0, 20, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -16, 0, 0, 0, -4, 0, -44, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 16, 0, 0, 0, 20, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -40, 0, 4, 0, -36, 0, 0, 0, 0, 0, -44, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 4, 0, 0, 0, -40, 0, 44, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 16, 0, 4, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 8, 0, 0, 0, 20, 0, -44, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, -88, 0, 0, 0, 12, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 88, 0, 28, 0, -16, 0, 0, 0, 0, 0, 88, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [-1, -1, 0, 0], [0, 0, 0, 0], [-1, 2, 0, 0], [0, 0, 0, 0], [0, 0, -1, -1], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, 0, -1, 1], [0, 0, 0, 0], [3, -1, 0, 0], [0, 0, 0, 0], [0, 0, -1, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [3, 3, 0, 0], [0, 0, 0, 0], [-3, -4, 0, 0], [0, 0, 0, 0], [-4, 4, 0, 0], [0, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, 1], [0, 0, 0, 0], [0, 0, 3, -1], [0, 0, 0, 0], [5, -5, 0, 0], [0, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, -1], [0, 0, 0, 0], [2, 1, 0, 0], [0, 0, 0, 0], [5, -5, 0, 0], [0, 0, 0, 0], [0, 15, 0, 0], [0, 0, 0, 0], [0, 0, 0, 2], [0, 0, 0, 0], [-3, -3, 0, 0], [0, 0, 0, 0], [0, 0, 2, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -10, 0, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [0, 0, -1, 1], [0, 0, 0, 0], [0, 0, -1, -3], [0, 0, 0, 0], [-3, 3, 0, 0], [0, 0, 0, 0], [0, -6, 0, 0], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, 1], [0, 0, 0, 0], [-1, 7, 0, 0], [0, 0, 0, 0], [-11, 11, 0, 0], [0, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 0], [5, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, -1], [0, 0, 0, 0], [0, 0, 3, -1], [0, 0, 0, 0], [0, 0, -2, -2], [0, 0, 0, 0], [0, -12, 0, 0], [0, 0, 0, 0], [22, 0, 0, 0], [0, 0, 0, 0], [4, 4, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [5, -5, 0, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [-1, -1, 0, 0], [-1, 2, 0, 0], [0, 0, -1, -1], [0, 0, 0, -1], [0, 0, -1, 1], [0, 0, -1, -1], [0, 0, 0, 0], [3, 3, 0, 0], [0, 0, 2, 0], [-4, 0, 0, 0], [5, -5, 0, 0], [0, 0, 0, 0], [0, 0, 1, -1], [5, -5, 0, 0], [-3, -3, 0, 0], [0, -10, 0, 0], [0, 0, 0, 4], [-3, 3, 0, 0], [-4, 0, 0, 0], [0, 0, -1, 1], [0, 0, -4, 0], [0, 0, 1, -1], [0, -12, 0, 0], [5, -5, 0, 0], [0, 0, 0, -4], [-9, -9, 0, 0], [0, 0, -1, -1], [0, 0, 2, 0], [1, 1, 0, 0], [0, 0, -1, -1], [0, 0, 0, 2], [1, -1, 0, 0], [0, 0, -4, 0], [0, 0, 2, 0], [0, 0, 0, -2], [1, -1, 0, 0], [3, 3, 0, 0], [0, 0, 3, 3], [0, 0, -1, 1], [0, 6, 0, 0], [2, 0, 0, 0], [-12, 0, 0, 0], [0, 0, 3, -3], [0, 0, 3, 3], [0, -22, 0, 0], [0, 0, 0, 2], [7, 7, 0, 0], [0, 0, 3, 3], [0, 4, 0, 0], [0, 0, -1, 1], [0, 0, 4, 0], [0, 0, 0, -8], [-8, 0, 0, 0], [9, -9, 0, 0], [0, 0, 1, -1], [0, 0, 0, 0], [0, 0, 0, 6], [0, 0, -5, -5], [0, 0, 0, -8], [0, 0, 5, -5], [0, 0, -5, 5], [0, 0, -1, -1], [12, 0, 0, 0], [21, 21, 0, 0], [17, -17, 0, 0], [-16, 0, 0, 0], [0, 0, -1, -1], [0, 0, 3, 3], [0, 0, -6, 0], [9, 9, 0, 0], [0, 0, 4, 0], [-15, 15, 0, 0], [0, 0, -1, 1], [0, -2, 0, 0], [-5, -5, 0, 0], [0, 32, 0, 0], [-23, 23, 0, 0], [22, 0, 0, 0], [0, 0, 6, 0], [0, -2, 0, 0], [22, 0, 0, 0], [0, 0, 0, 10], [-15, -15, 0, 0], [0, 0, 0, 0], [15, 15, 0, 0], [0, -8, 0, 0], [0, 0, -1, -1], [0, 0, 0, 12], [-9, -9, 0, 0], [1, -1, 0, 0], [0, 0, 4, 0], [-23, 23, 0, 0], [0, 0, 0, -10], [0, 22, 0, 0], [0, 0, -3, 3], [0, -36, 0, 0], [-34, 0, 0, 0], [0, 0, 5, -5], [0, 0, 0, 4], [0, 0, -9, -9], [0, 0, -9, -9], [0, 0, -3, 3], [0, 0, 6, 0], [0, 0, 0, 6], [21, -21, 0, 0], [13, -13, 0, 0], [0, 0, 3, -3], [0, -30, 0, 0], [0, 0, 0, 0], [0, 0, -1, -1], [0, 0, -5, 5], [1, -1, 0, 0], [0, 38, 0, 0], [-20, 0, 0, 0], [-30, 0, 0, 0], [-21, -21, 0, 0], [17, -17, 0, 0], [5, 5, 0, 0], [0, 0, -4, 0], [34, 0, 0, 0], [0, 0, 3, -3], [0, 0, -9, -9], [23, 23, 0, 0], [8, 0, 0, 0], [0, 0, 0, -4], [0, -40, 0, 0], [0, 2, 0, 0], [25, -25, 0, 0], [0, 0, 11, -11], [0, 0, 12, 0], [0, 0, 5, -5], [28, 0, 0, 0], [-3, 3, 0, 0], [0, 0, 0, -8], [0, 0, 6, 0], [5, 5, 0, 0], [0, 0, 7, 7], [-19, 19, 0, 0], [0, 0, 6, 0], [0, 0, 0, -10], [0, 0, 0, 12], [27, 27, 0, 0], [0, 0, -1, -1], [0, 20, 0, 0], [0, -30, 0, 0], [0, 0, 3, -3], [0, 0, 7, 7], [0, -10, 0, 0], [-29, -29, 0, 0], [0, 0, -1, -1], [54, 0, 0, 0], [27, 27, 0, 0], [0, 0, -5, -5], [-7, 7, 0, 0], [-44, 0, 0, 0], [0, 0, 8, 0], [0, 44, 0, 0], [0, 0, 3, 3], [0, 0, 0, -12], [-19, 19, 0, 0], [0, 0, 11, -11], [0, 0, 3, 3], [-8, 0, 0, 0], [13, -13, 0, 0], [15, 15, 0, 0], [-44, 0, 0, 0], [0, 0, -5, -5]], 'char_orbit_index': 11, 'field_poly': [9, 0, -5, 0, 1], 'hecke_orbit_code': 687228322012, 'hecke_ring_character_values': [[111, [1, 0, 0, 0]], [177, [0, -1, 0, 0]], [101, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3, 3, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 1, 0], [5, 0, 0, 1], [0, 4, 1, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, -2, 0, 1], [0, 8, 0, -1], [-5, 0, 2, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '220.2.k.a', 'level': 220, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 880, 'analytic_conductor': 1.7567088444681684, 'char_conductor': 55, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [220, 4, [111, 177, 101], [4, 3, 2]], 'conrey_index': 153, 'cusp_dim': 60, 'dim': 12, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 687228322012, 'hecke_orbit_dims': [4, 8], 'label': '220.2.k', 'level': 220, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 84, 'mf_new_dim': 12, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 6, 'sturm_bound': 72, 'trace_bound': 1, 'trace_display': [0, -2, -4, 0], 'traces': [12, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -6, 0, -14, 0, 10, 0, 0, 0, -16, 0, 22, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 26, 0, -28, 0, 0, 0, 0, 0, -36, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 0, -4, 0, 0, 0, 60, 0, -44, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 34, 0, 0, 0, 54, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 12, 0, 46, 0, 2, 0, 0, 0, 0, 0, 44, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, -2, 0, 0, 0, -108, 0, 44, 0, 0, 0, 74, 0, 0, 0, 0, 0, 0, 0, -62, 0, -42, 0, 0, 0, 0, 0, -52, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74, 0, 0, 0, 8, 0, 0, 0, 44, 0, -44, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, -88, 0, 0, 0, 212, 0, 0, 0, 0, 0, -146, 0, 0, 0, 0, 0, 0, 0, 88, 0, 30, 0, -34, 0, 0, 0, 0, 0, 88, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 168, 0, -162, 0, 0, 0, 0, 0, -140, 0, 22, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, -26, 0, -222, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 80, 0, -154, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 46, 0, 0, 0, 122, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 160, 0, 132, 0, 0, 0, 0, 0, 132, 0, 0, 0, 210, 0, 0, 0, 0, 0, 0, 0, 18, 0, 16, 0, 88, 0, 0, 0, -228, 0, 66, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, -114, 0, -88, 0, 0, 0, 0, 0, -98, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 88, 0, 0, 0, 82, 0, -66, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, -120, 0, 0, 0, 176, 0, 0, 0, 0, 0, -118, 0, 0, 0, 0, 0, 0, 0, 228, 0, 102, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 26, 0, -186, 0, -2, 0, 0, 0, -232, 0, -44, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 38, 0, -178, 0, 0, 0, 0, 0, -88, 0, -198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, 0, 88, 0, 0, 0, 186, 0, -88, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 388, 0, 0, 0, 0, 0, 210, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, -4, 0, 0, 0, 0, 0, 88, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, -74, 0, -30, 0, 178, 0, 0, 0, -88, 0, 176, 0, 0, 0, 244, 0, 0, 0, 0, 0, 0, 0, -176, 0, -220, 0, 0, 0, 0, 0, -228, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -164, 0, 0, 0, -272, 0, 0, 0, 70, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, -2, 0, 0, 0, 122, 0, 0, 0, 0, 0, 122, 0, 0, 0, 0, 0, 0, 0, 188, 0, -88, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 188, 0, -132, 0, -98, 0, 0, 0, -36, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 162, 0, -176, 0, 0, 0, 0, 0, -150, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -88, 0, 0, 0, 158, 0, -66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, 170, 0, 0, 0, 140, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 140, 0, 236, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, 0, 0, -176, 0, 174, 0, -82, 0, 0, 0, -156, 0, 44, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 10, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -122, 0, 0, 0, -172, 0, 0, 0, 150, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -260, 0, 0, 0, 54, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, -12, 0, -116, 0, -84, 0, 0, 0, 0, 0, 132, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 88, 0, -266, 0, 4, 0, 0, 0, -176, 0, -44, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 44, 0, -216, 0, 0, 0, 0, 0, -24, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 280, 0, 0, 0, -10, 0, -88, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 176, 0, 0, 0, 106, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, 0, 0, -176, 0, 202, 0, 176, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 177732
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '220.2.k.a', 'target_level': 220, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 177733
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '220.2.k.a', 'target_level': 220, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 177734
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '220.2.k.a', 'target_level': 220, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 177735
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '220.2.k.a', 'target_level': 220, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 177736
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 30, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '880.2.bd.f', 'target_level': 880, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 177737
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 30, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '880.2.bd.f', 'target_level': 880, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 177738
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 30, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '880.2.bd.f', 'target_level': 880, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 177739
{'conductor': 220, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 30, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '880.2.bd.f', 'target_level': 880, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '220.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 177740
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.2.k.a', 'target_level': 1100, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 177741
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.2.k.a', 'target_level': 1100, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 177742
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.2.k.a', 'target_level': 1100, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 177743
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1100.2.k.a', 'target_level': 1100, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 177744
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1980.2.y.a', 'target_level': 1980, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 177745
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1980.2.y.a', 'target_level': 1980, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 177746
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1980.2.y.a', 'target_level': 1980, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 177747
{'conductor': 165, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '220.2.k.a', 'source_level': 220, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1980.2.y.a', 'target_level': 1980, 'twist_class_label': '220.2.k.a', 'twist_class_level': 220, 'twisting_char_label': '165.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 529700
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 687228322012, 'p': 2}
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id: 529701
{'charpoly_factorization': [[[2, 2, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 3}
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id: 529702
{'charpoly_factorization': [[[5, 2, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 5}
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id: 529703
{'charpoly_factorization': [[[484, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228322012, 'p': 7}
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id: 529704
{'charpoly_factorization': [[[11, 0, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 11}
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id: 529705
{'charpoly_factorization': [[[484, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228322012, 'p': 13}
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id: 529706
{'charpoly_factorization': [[[484, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228322012, 'p': 17}
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id: 529707
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 687228322012, 'p': 19}
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id: 529708
{'charpoly_factorization': [[[18, -6, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 23}
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id: 529709
{'charpoly_factorization': [[[-44, 0, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 29}
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id: 529710
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 687228322012, 'p': 31}
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id: 529711
{'charpoly_factorization': [[[50, -10, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 37}
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id: 529712
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 687228322012, 'p': 41}
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id: 529713
{'charpoly_factorization': [[[484, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228322012, 'p': 43}
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id: 529714
{'charpoly_factorization': [[[50, -10, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 47}
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id: 529715
{'charpoly_factorization': [[[18, 6, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 53}
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id: 529716
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 59}
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id: 529717
{'charpoly_factorization': [[[176, 0, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 61}
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id: 529718
{'charpoly_factorization': [[[18, 6, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 67}
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id: 529719
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 687228322012, 'p': 71}
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id: 529720
{'charpoly_factorization': [[[484, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228322012, 'p': 73}
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id: 529721
{'charpoly_factorization': [[[-176, 0, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 79}
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id: 529722
{'charpoly_factorization': [[[484, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228322012, 'p': 83}
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id: 529723
{'charpoly_factorization': [[[144, 0, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 89}
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id: 529724
{'charpoly_factorization': [[[50, -10, 1], 2]], 'hecke_orbit_code': 687228322012, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '220.2.k.a', 'level': 220, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 10525692
{'hecke_orbit_code': 687228322012, 'n': 1, 'trace_an': 4}
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id: 10525693
{'hecke_orbit_code': 687228322012, 'n': 2, 'trace_an': 0}
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id: 10525694
{'hecke_orbit_code': 687228322012, 'n': 3, 'trace_an': -4}
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id: 10525695
{'hecke_orbit_code': 687228322012, 'n': 4, 'trace_an': 0}
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